Infopaket

Higher Mathematics (3 semester)

ОК 08

Обов’язкова дисципліна для ОП

First

2022/2023

3 Semester

6

Students should learn the basic concepts and methods of probability theory and differential equations, basic types of differential equations and methods of their integration, methods of finding numerical characteristics of random variables, students must be able to find distributions of given random variables, calculate numerical characteristics of given random variables, correctly determine the type of given differential equation and the optimal method of its integration, to solve typical problems that require the use of methods of differential equations and probability theory.

Full-time form

For studying the discipline "Higher Mathematics" it is necessary to have basic knowledge of mathematics and the first and second parts of the course "Higher Mathematics"

The basic normative discipline "Higher Mathematics" consists of the following main sections: "Differential Equations" and "Probability Theory". These sections include such basic concepts of higher mathematics as equations with separable variables, first-order linear equations, equations in complete differentials, Lagrange and Clero equations, linear homogeneous equations and systems, linear inhomogeneous equations and systems, classical and geometric probability definition, distribution law, distribution function and density of a random variable. All mathematical concepts studied are illustrated by applications. When studying the course, both final tests and individual independent work of students are provided.

1. С. А. Кривошея, М. О. Перестюк, В. М. Бурим. Диференціальні та інтегральні рівняння. Київ, "Либідь", 2004, 407 с. 2. А. М. Самойленко, С. А. Кривошея, М. О. Перестюк. Диференціальні рівняння в прикладах і задачах. Київ, "Либідь", 2003, 395 с. 3. С. А. Кривошея, Н.В. Майко, О.В. Сугакова Диференціальні рівняння: завдання для самостійної роботи студентів. ВПЦ «Київський університет», 2009, 200 с. 4. Радченко О.М. Теорія ймовірностей – К: КНУ, 2015 – 135 с. 5. Іваненко Д.О., Сугакова О.В. «Самостійна робота студентів з курсу «Теорія ймовірностей і математична статистика», Київ, 2014. – 2014.

This discipline is taught in the amount of 90 hours, in particular: lectures - 46 hours, practice - 44 hours, the course provides 3 modules, final control is conducted in the form of an exam.

- semester control: it is planned to conduct three written tests on the material of practical classes (MKR-1, MKR-2 and MKR-3). A maximum of 15 points is awarded for each - final control (in the form of an exam): the form of the exam is written-oral. In total, you can get from 0 to 40 points for the exam. The condition for achieving a positive grade for the discipline is to obtain at least 60 points, the grade for the exam cannot be less than 20 points.

Ukrainian